Adolphin is trying to jump through a hoop that is fixed at a height of 3.5 m above the surface of her pool. the dolphin leaves the water at an angle of inclination of 40°. determine the minimum speed the dolphin will need when leaving the water in order to reach the height of the hoop.

Materials will have different energies associated with the electrons inside them. this is related to how strongly bound they are by their work function. if we sandwich a material with a very low energy between two materials with a high energy, we create a trap for an electron. if this trap is very narrow in one direction in comparison to the others, this is approximately a 1-dimensional box that confines the electron. what is the lowest energy of an electron in the box if the thinnest direction across the materials is 4.81 nm?